Answer:
P = 46cm
Explanation:
If the circle inscribed in a quadrilateral, then the sums of the opposite sides of the quadrilateral are the same.
Therefore we have the equation:
AB + CD = BC + AD
Therefore the perimeter of polygon ABCD is equal to
P = 2(AB + CD)
Substitute AB = 10.5cm, CD = 12.5cm:
P = 2(10.5cm + 12.5cm) = 2(23cm) = 46cm